메뉴 건너뛰기




Volumn 112, Issue 2, 2008, Pages 473-491

Breakpoint searching algorithms for the continuous quadratic knapsack problem

Author keywords

Convex programming; Nonlinear programming; Quadratic programming; Separable programming; Singly constrained quadratic program

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR PROGRAMMING; QUADRATIC PROGRAMMING;

EID: 36749018119     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-006-0050-z     Document Type: Article
Times cited : (68)

References (27)
  • 2
    • 84925931867 scopus 로고
    • Disaggregation and resource allocation using convex knapsack problems with bounded variables
    • Bitran G.R., Hax A.C. (1981) Disaggregation and resource allocation using convex knapsack problems with bounded variables. Manage. Sci. 27, 431-441
    • (1981) Manage. Sci. , vol.27 , pp. 431-441
    • Bitran, G.R.1    Hax, A.C.2
  • 3
    • 0031075148 scopus 로고    scopus 로고
    • Quadratic resource allocation with generalized upper bounds
    • Bretthauer K.M., Shetty B. (1997) Quadratic resource allocation with generalized upper bounds. Oper. Res. Lett. 20, 51-57
    • (1997) Oper. Res. Lett. , vol.20 , pp. 51-57
    • Bretthauer, K.M.1    Shetty, B.2
  • 4
    • 0001730913 scopus 로고
    • A branch and bound algorithm for integer quadratic knapsack problems
    • Bretthauer K.M., Shetty B., Syam S. (1995) A branch and bound algorithm for integer quadratic knapsack problems. ORSA J. Comput. 7, 109-116
    • (1995) ORSA J. Comput. , vol.7 , pp. 109-116
    • Bretthauer, K.M.1    Shetty, B.2    Syam, S.3
  • 5
    • 0030105440 scopus 로고    scopus 로고
    • A projection method for the integer quadratic knapsack problem
    • Bretthauer K.M., Shetty B., Syam S. (1996) A projection method for the integer quadratic knapsack problem. J. Oper. Res. Soc. 47, 457-462
    • (1996) J. Oper. Res. Soc. , vol.47 , pp. 457-462
    • Bretthauer, K.M.1    Shetty, B.2    Syam, S.3
  • 6
    • 0021479943 scopus 로고
    • An O(n) algorithm for quadratic knapsack problems
    • Brucker P. (1984) An O(n) algorithm for quadratic knapsack problems. Oper. Res. Lett. 3, 163-166
    • (1984) Oper. Res. Lett. , vol.3 , pp. 163-166
    • Brucker, P.1
  • 9
    • 26444460409 scopus 로고
    • Strongly polynomial algorithms for the quadratic transportation problem with a fixed number of sources
    • Cosares S., Hochbaum D.S. (1994) Strongly polynomial algorithms for the quadratic transportation problem with a fixed number of sources. Math. Oper. Res. 19, 94-111
    • (1994) Math. Oper. Res. , vol.19 , pp. 94-111
    • Cosares, S.1    Hochbaum, D.S.2
  • 10
    • 0005653786 scopus 로고
    • A Lagrangean relaxation algorithm for the constrained matrix problem
    • Cottle R.W., Duvall S.G., Zikan K. (1986) A Lagrangean relaxation algorithm for the constrained matrix problem. Naval Res. Logist. Quart. 33, 55-76
    • (1986) Naval Res. Logist. Quart. , vol.33 , pp. 55-76
    • Cottle, R.W.1    Duvall, S.G.2    Zikan, K.3
  • 11
    • 0016025814 scopus 로고
    • Validation of subgradient optimization
    • Held M., Wolfe P., Crowder H.P. (1974) Validation of subgradient optimization. Math. Program. 6, 62-88
    • (1974) Math. Program. , vol.6 , pp. 62-88
    • Held, M.1    Wolfe, P.2    Crowder, H.P.3
  • 12
    • 0001704043 scopus 로고
    • A polynomially bounded algorithm for a singly constrained quadratic program
    • Helgason K., Kennington J., Lall H. (1980) A polynomially bounded algorithm for a singly constrained quadratic program. Math. Program. 18, 338-343
    • (1980) Math. Program. , vol.18 , pp. 338-343
    • Helgason, K.1    Kennington, J.2    Lall, H.3
  • 13
    • 0001687035 scopus 로고
    • About strongly polynomial time algorithms for quadratic optimization over submodular constraints
    • Hochbaum D.S., Hong S.P. (1995) About strongly polynomial time algorithms for quadratic optimization over submodular constraints. Math. Program. 69, 269-309
    • (1995) Math. Program. , vol.69 , pp. 269-309
    • Hochbaum, D.S.1    Hong, S.P.2
  • 14
    • 27844582962 scopus 로고    scopus 로고
    • On Floyd and Rivest's select algorithm
    • Kiwiel K.C. (2005) On Floyd and Rivest's select algorithm. Theor. Comput. Sci. 347, 214-238
    • (2005) Theor. Comput. Sci. , vol.347 , pp. 214-238
    • Kiwiel, K.C.1
  • 17
    • 0001008011 scopus 로고
    • Allocation of effort resources among competing activities
    • Luss H., Gupta S.K. (1975) Allocation of effort resources among competing activities. Oper. Res. 23, 360-366
    • (1975) Oper. Res. , vol.23 , pp. 360-366
    • Luss, H.1    Gupta, S.K.2
  • 20
    • 0027602304 scopus 로고
    • Linear time algorithms for some separable quadratic programming problems
    • Megiddo N., Tamir A. (1993) Linear time algorithms for some separable quadratic programming problems. Oper. Res. Lett. 13, 203-211
    • (1993) Oper. Res. Lett. , vol.13 , pp. 203-211
    • Megiddo, N.1    Tamir, A.2
  • 22
    • 0026835468 scopus 로고
    • Massively parallel algorithms for singly constrained convex programs
    • Nielsen S.S., Zenios S.A. (1992) Massively parallel algorithms for singly constrained convex programs. ORSA J. Comput. 4, 166-181
    • (1992) ORSA J. Comput. , vol.4 , pp. 166-181
    • Nielsen, S.S.1    Zenios, S.A.2
  • 23
    • 0000859664 scopus 로고
    • An algorithm for a singly constrained class of quadratic programs subject to upper and lower bounds
    • Pardalos P.M., Kovoor N. (1990) An algorithm for a singly constrained class of quadratic programs subject to upper and lower bounds. Math. Program. 46, 321-328
    • (1990) Math. Program. , vol.46 , pp. 321-328
    • Pardalos, P.M.1    Kovoor, N.2
  • 24
    • 0027113483 scopus 로고
    • On the continuous quadratic knapsack problem
    • Robinson A.G., Jiang N., Lerme C.S. (1992) On the continuous quadratic knapsack problem. Math. Program. 55, 99-108
    • (1992) Math. Program. , vol.55 , pp. 99-108
    • Robinson, A.G.1    Jiang, N.2    Lerme, C.S.3
  • 25
    • 84974858066 scopus 로고
    • A parallel projection for the multicommodity network model
    • Shetty B., Muthukrishnan R. (1990) A parallel projection for the multicommodity network model. J. Oper. Res. Soc. 41, 837-842
    • (1990) J. Oper. Res. Soc. , vol.41 , pp. 837-842
    • Shetty, B.1    Muthukrishnan, R.2
  • 26
    • 84987041036 scopus 로고
    • Computational development of a Lagrangian dual approach for quadratic networks
    • Ventura J.A.(1991) Computational development of a Lagrangian dual approach for quadratic networks. Networks 21, 469-485
    • (1991) Networks , vol.21 , pp. 469-485
    • Ventura, J.A.1
  • 27
    • 0001855779 scopus 로고
    • Simple ranking methods for allocation of one resource
    • Zipkin P.H. (1980) Simple ranking methods for allocation of one resource. Manage. Sci. 26, 34-43
    • (1980) Manage. Sci. , vol.26 , pp. 34-43
    • Zipkin, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.